Coprime triangles the same after some point?

Klaus Brockhaus klaus-brockhaus at t-online.de
Tue Jan 17 16:51:08 CET 2006



Leroy Quet wrote:
> 
> Just wondering.
> 
> Are triangles A112592 and A112599 the same after some row?
> 
> Each row is defined as: the mth term of the nth row is the number of
> terms of the (n-1)th row which are coprime to m.
> A112592 has a(1,1) = 0, and A112599 has a(1,1) = 1.



Computation of up to row 1000 gave following results:

	different	sum of		mean
row	components	differences	difference

100	92   (92 %)	1222		12.22
200	187  (94 %)	2171		10.86
300	288  (96 %)	5659		18.86
400	369  (92 %)	9452		23.63
500	471  (94 %)	19202		38,40
600	570  (95 %)	15071		25,12
700	665  (95 %)	34202		48.86
800	753  (94 %)	58384		72.98
900	851  (95 %)	33579		37.31
1000	955  (96 %)	61020		61.02

Of course this proves nothing, but at least it doesn't speak in favor of the assumption that the n-th rows of triangles A112592 and A112599 will be identical for large n.

Klaus






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